basic

Isolated Sphere Capacitance from Radius Calculator

C = 4π · ε₀ · R = R / k_e.

Compute the self-capacitance of an isolated conducting sphere of radius R (relative to a virtual ground at infinity): C = 4π · ε₀ · R, with ε₀ = 8.8542·10⁻¹² F/m. Equivalently, C = R / k_e where k_e = 8.988·10⁹ N·m²/C². For R = 1 m, C ≈ 111 pF.

Dr. Helena Ortiz By Dr. Helena Ortiz
Published Last reviewed 1 min read

Inputs

m

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How to use this calculator

  1. Fill in the inputs above using the units you already have.
  2. Values update automatically as you type — no submit button needed.
  3. Hover any result row for the underlying formula and intermediate values.

Formula

C = 4π·ε₀·R = R / k_e.

In depth

Compute the self-capacitance of an isolated conducting sphere of radius R (relative to a virtual ground at infinity): C = 4π · ε₀ · R, with ε₀ = 8.8542·10⁻¹² F/m. Equivalently, C = R / k_e where k_e = 8.988·10⁹ N·m²/C². For R = 1 m, C ≈ 111 pF.